6(2x+7)=13x+30

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Solution for 6(2x+7)=13x+30 equation:


Simplifying
6(2x + 7) = 13x + 30

Reorder the terms:
6(7 + 2x) = 13x + 30
(7 * 6 + 2x * 6) = 13x + 30
(42 + 12x) = 13x + 30

Reorder the terms:
42 + 12x = 30 + 13x

Solving
42 + 12x = 30 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
42 + 12x + -13x = 30 + 13x + -13x

Combine like terms: 12x + -13x = -1x
42 + -1x = 30 + 13x + -13x

Combine like terms: 13x + -13x = 0
42 + -1x = 30 + 0
42 + -1x = 30

Add '-42' to each side of the equation.
42 + -42 + -1x = 30 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 30 + -42
-1x = 30 + -42

Combine like terms: 30 + -42 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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